Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table. x: 2 5 8 y: 2 0.8 0.5

Step-by-step explanation:

x: 2 5 8

y: 2 0.8 0.5

Simply by looking at what happens to y as x increases, we can see that y decreases, and that we therefore have inverse variation.

The appropriate model is y = k/x.

If x = 5, y = 0.8, and so 0.8 = k/5

Solving for the constant of proportionality, we get 4 = k.

Then y = 4/x models this data.